Finding the Third Proportional to 512.34 and 1,099.31

Step by Step Solution

1. Step 1: Write the proportion equation
   512.34 : 1,099.31 = 1,099.31 : x
2. Step 2: Convert to fraction form
   512.34/1,099.31 = 1,099.31/x
3. Step 3: Cross multiply
   512.34x = 1,099.31 × 1,099.31
4. Step 4: Simplify right side
   512.34x = 1,208,491.19
5. Step 5: Solve for x
   x = 1,208,491.19/512.34
6. Step 6: Final answer
   x = 2,358.76